Manifolds with non-stable fundamental groups at infinity, III

Details Manifolds with non-stable fundamental groups at infinity, III Manifolds with non-stable fundamental groups at infinity, III

2005-05-24

arxiv.org/abs/math/0505517v2

Geom. Topol. 10 (2006) 541-556

Mathematics

Geometric Topology

This is the version published by Geometry & Topology on 27 April 2006

Scientific paper

10.2140/gt.2006.10.541

We continue our study of ends non-compact manifolds. The over-arching aim is to provide an appropriate generalization of Siebenmann's famous collaring theorem that applies to manifolds having non-stable fundamental group systems at infinity. In this paper a primary goal is finally achieved; namely, a complete characterization of pseudo-collarability for manifolds of dimension at least 6.

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